But as much as Ullmark idolized Hasek for his creativity, he held the Hall of Famer's consistency in equally high regard. Just as there was a method to Hasek's madness, Ullmark explained how he picked his spot to utilize the barrel roll when presented with Foligno's attempt.
"It's all about the read," he said. "If you're lucky enough to read it right that he's going to go high, then it's all about getting something in there. Yesterday, it wasn't as stressful as it usually is during those situations because I was in a good spot.
"I was calm and collected so I could read off the shot and react to it. It wasn't like I just rotated and swiveled around with my pads in the air. In my mind, I was pretty controlled in that moment."
The barrel roll isn't the only emergency option in Ullmark's toolbox. He's known to make his share of windmill glove saves, and he's even practiced the ability to redirect shots with his Minion-covered mask.
It all stems from Ullmark's days as a young goaltender, when his unorthodox style was as much a roadblock as it was an asset. Coaches told him he looked more like a soccer goalie than a hockey goalie, that his play was too unpredictable.
"I've always had that kind of arsenal, I would say, those tools in the toolbox to pull out," he said. "For me, it was much more about bringing everything into a controlled state of mind and not to do it all the time. More about doing the easy saves and try to make the hard saves as easy as possible.
"But then whenever you're put in a bad spot or situation and there's a rebound, tip, whatever you have, you can just pick out the right tool and use it."
His goalie coach, Andrew Allen, said he's seen dramatic strides in that sense from the time Ullmark was thrust into a 20-game NHL stint in 2015-16, when he a 22-year-old rookie coming off double-hip surgery.
"I really feel his game has simplified over time," Allen said. "When he first got here, he would almost chase the play. He'd be moving on saves a lot more. Now he gets his feet set. His edge control is his biggest strength, so he's able to get into position more often to not have to make these.
"But the fact of the matter that he had, growing up, this innate ability to make the big save and these acrobatic saves is that he has that in his toolbox, so it's always there for him. From a consistency standpoint, you don't want to see him having to use that all the time."
Any comparison to Hasek, Allen says, comes down to the two goaltenders' ability to think the game.
"Linus has got some flare in some of the save selections he makes," he said. "So yeah, you can see some of that influence. I equate it to hockey sense, how Dom Hasek had this innate hockey sense to make saves that other goalies hadn't even thought of.
"Linus at times gets into positions where he thinks these saves out that some other goalies don't. I do see an influence for sure from Hasek, but I equate it to hockey sense. It's just hockey sense."
Ullmark got a chance to show off his skillset in front of Hasek at the inaugural Skills Challenge in January, but he hasn't yet had the chance to speak at length with his idol.
When they do meet, they should have plenty to talk about.
"It's cool that he's around," he said. "I'd like to do that someday, obviously, because he was my idol growing up. If I'm lucky enough to stay around for a lot of years, I'm sure that I'll get to talk to him someday."
